Two Dimensional Single Variable Cubic Nonlinear Systems Vol Vi

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Two-dimensional Single-Variable Cubic Nonlinear Systems, Vol VI

Author : Albert C. J. Luo
Publisher : Springer
ISBN 13 : 9783031571152
Total Pages : 0 pages
Book Rating : 4.5/5 (711 download)

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Book Synopsis Two-dimensional Single-Variable Cubic Nonlinear Systems, Vol VI by : Albert C. J. Luo

Download or read book Two-dimensional Single-Variable Cubic Nonlinear Systems, Vol VI written by Albert C. J. Luo and published by Springer. This book was released on 2024-05-31 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book, the sixth of 15 related monographs, discusses singularity and networks of equilibriums and 1-diemsnional flows in product quadratic and cubic systems. The author explains how, in the networks, equilibriums have source, sink and saddles with counter-clockwise and clockwise centers and positive and negative saddles, and the 1-dimensional flows includes source and sink flows, parabola flows with hyperbolic and hyperbolic-secant flows. He further describes how the singular equilibriums are saddle-source (sink) and parabola-saddles for the appearing bifurcations, and the 1-dimensional singular flows are the hyperbolic-to-hyperbolic-secant flows and inflection source (sink) flows for 1-dimensional flow appearing bifurcations, and the switching bifurcations are based on the infinite-equilibriums, including inflection-source (sink), parabola-source (sink), up-down and down-up upper-saddle (lower-saddle), up-down (down-up) sink-to-source and source-to-sink, hyperbolic and hyperbolic-secant saddles. The diagonal-inflection upper-saddle and lower-saddle infinite-equilibriums are for the double switching bifurcations. The networks of hyperbolic flows with connected saddle, source and center are presented, and the networks of the hyperbolic flows with paralleled saddle and center are also illustrated. Readers will learn new concepts, theory, phenomena, and analysis techniques. Product-quadratic and product cubic systems Self-linear and crossing-quadratic product vector fields Self-quadratic and crossing-linear product vector fields Hybrid networks of equilibriums and 1-dimensional flows Up-down and down-up saddle infinite-equilibriums Up-down and down-up sink-to-source infinite-equilibriums Inflection-source (sink) Infinite-equilibriums Diagonal inflection saddle infinite-equilibriums Infinite-equilibrium switching bifurcations

Two-dimensional Single-Variable Cubic Nonlinear Systems, Vol II

Author : Albert C. J. Luo
Publisher : Springer
ISBN 13 : 9783031571077
Total Pages : 0 pages
Book Rating : 4.5/5 (71 download)

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Book Synopsis Two-dimensional Single-Variable Cubic Nonlinear Systems, Vol II by : Albert C. J. Luo

Download or read book Two-dimensional Single-Variable Cubic Nonlinear Systems, Vol II written by Albert C. J. Luo and published by Springer. This book was released on 2024-05-31 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book, the second of 15 related monographs, presents systematically a theory of cubic nonlinear systems with single-variable vector fields. The cubic vector fields are of crossing-variables, which are discussed as the second part. The 1-dimensional flow singularity and bifurcations are discussed in such cubic systems. The appearing and switching bifurcations of the 1-dimensional flows in such 2-diemnsional cubic systems are for the first time to be presented. Third-order parabola flows are presented, and the upper and lower saddle flows are also presented. The infinite-equilibriums are the switching bifurcations for the first and third-order parabola flows, and inflection flows with the first source and sink flows, and the upper and lower-saddle flows. The appearing bifurcations in such cubic systems includes inflection flows and third-order parabola flows, upper and lower-saddle flows. Readers will learn new concepts, theory, phenomena, and analytic techniques, including Constant and crossing-cubic systems Crossing-linear and crossing-cubic systems Crossing-quadratic and crossing-cubic systems Crossing-cubic and crossing-cubic systems Appearing and switching bifurcations Third-order centers and saddles Parabola-saddles and inflection-saddles Homoclinic-orbit network with centers Appearing bifurcations

Two-dimensional Single-Variable Cubic Nonlinear Systems, Vol III

Author : Albert C. J. Luo
Publisher : Springer
ISBN 13 : 9783031571114
Total Pages : 0 pages
Book Rating : 4.5/5 (711 download)

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Book Synopsis Two-dimensional Single-Variable Cubic Nonlinear Systems, Vol III by : Albert C. J. Luo

Download or read book Two-dimensional Single-Variable Cubic Nonlinear Systems, Vol III written by Albert C. J. Luo and published by Springer. This book was released on 2024-06-15 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book, the third of 15 related monographs, presents systematically a theory of self-independent cubic nonlinear systems. Here, at least one vector field is self-cubic, and the other vector field can be constant, self-linear, self-quadratic, or self-cubic. For constant vector fields in this book, the dynamical systems possess 1-dimensional flows, such as source, sink and saddle flows, plus third-order source and sink flows. For self-linear and self-cubic systems discussed, the dynamical systems possess source, sink and saddle equilibriums, saddle-source and saddle-sink, third-order sink and source (i.e, (3rd SI:SI)-sink and (3rdSO:SO)-source) and third-order source (i.e., (3rd SO:SI)-saddle, (3rd SI, SO)-saddle) . For self-quadratic and self-cubic systems, in addition to the first and third-order sink, source and saddles plus saddle-source and saddle-sink, there are (3:2)-saddle-sink and (3:2) saddle-source and double-saddles. For the two self-cubic systems, (3:3)-source, sink and saddles exist. Finally, the author describes that homoclinic orbits without centers can be formed, and the corresponding homoclinic networks of source, sink and saddles exists. Readers will learn new concepts, theory, phenomena, and analytic techniques, including Constant and crossing-cubic systems Crossing-linear and crossing-cubic systems Crossing-quadratic and crossing-cubic systems Crossing-cubic and crossing-cubic systems Appearing and switching bifurcations Third-order centers and saddles Parabola-saddles and inflection-saddles Homoclinic-orbit network with centers Appearing bifurcations

Two-dimensional Single-Variable Cubic Nonlinear Systems, Vol. I

Author : Albert C. J. Luo
Publisher : Springer
ISBN 13 : 9783031484711
Total Pages : 0 pages
Book Rating : 4.4/5 (847 download)

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Book Synopsis Two-dimensional Single-Variable Cubic Nonlinear Systems, Vol. I by : Albert C. J. Luo

Download or read book Two-dimensional Single-Variable Cubic Nonlinear Systems, Vol. I written by Albert C. J. Luo and published by Springer. This book was released on 2024-07-10 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book, the first of 15 related monographs, presents systematically a theory of cubic nonlinear systems with single-variable vector fields. The cubic vector fields are of self-variables and are discussed as the first part of the book. The 1-dimensional flow singularity and bifurcations are discussed in such cubic systems. The appearing and switching bifurcations of the 1-dimensional flows in such 2-dimensional cubic systems are for the first time to be presented. Third-order source and sink flows are presented, and the third-order parabola flows are also presented. The infinite-equilibriums are the switching bifurcations for the first and third-order source and sink flows, and the second-order saddle flows with the first and third-order parabola flows, and the inflection flows. The appearing bifurcations in such cubic systems includes saddle flows and third-order source (sink) flows, inflection flows and third-order up (down)-parabola flows.

Two-dimensional Crossing-Variable Cubic Nonlinear Systems, Vol IV

Author : Albert C. J. Luo
Publisher : Springer
ISBN 13 : 9783031628092
Total Pages : 0 pages
Book Rating : 4.6/5 (28 download)

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Book Synopsis Two-dimensional Crossing-Variable Cubic Nonlinear Systems, Vol IV by : Albert C. J. Luo

Download or read book Two-dimensional Crossing-Variable Cubic Nonlinear Systems, Vol IV written by Albert C. J. Luo and published by Springer. This book was released on 2024-08-05 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the fourth of 15 related monographs presents systematically a theory of crossing-cubic nonlinear systems. In this treatment, at least one vector field is crossing-cubic, and the other vector field can be constant, crossing-linear, crossing-quadratic, and crossing-cubic. For constant vector fields, the dynamical systems possess 1-dimensional flows, such as parabola and inflection flows plus third-order parabola flows. For crossing-linear and crossing-cubic systems, the dynamical systems possess saddle and center equilibriums, parabola-saddles, third-order centers and saddles (i.e, (3rd UP+:UP+)-saddle and (3rdUP-:UP-)-saddle) and third-order centers (i.e., (3rd DP+:DP-)-center, (3rd DP-, DP+)-center) . For crossing-quadratic and crossing-cubic systems, in addition to the first and third-order saddles and centers plus parabola-saddles, there are (3:2)parabola-saddle and double-inflection saddles, and for the two crossing-cubic systems, (3:3)-saddles and centers exist. Finally,the homoclinic orbits with centers can be formed, and the corresponding homoclinic networks of centers and saddles exist. Readers will learn new concepts, theory, phenomena, and analytic techniques, including · Constant and crossing-cubic systems · Crossing-linear and crossing-cubic systems · Crossing-quadratic and crossing-cubic systems · Crossing-cubic and crossing-cubic systems · Appearing and switching bifurcations · Third-order centers and saddles · Parabola-saddles and inflection-saddles · Homoclinic-orbit network with centers · Appearing bifurcations

Two-Dimensional Quadratic Nonlinear Systems

Author : Albert C. J. Luo
Publisher :
ISBN 13 : 9789811678745
Total Pages : 0 pages
Book Rating : 4.6/5 (787 download)

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Book Synopsis Two-Dimensional Quadratic Nonlinear Systems by : Albert C. J. Luo

Download or read book Two-Dimensional Quadratic Nonlinear Systems written by Albert C. J. Luo and published by . This book was released on 2023 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book focuses on the nonlinear dynamics based on the vector fields with univariate quadratic functions. This book is a unique monograph for two-dimensional quadratic nonlinear systems. It provides different points of view about nonlinear dynamics and bifurcations of the quadratic dynamical systems. Such a two-dimensional dynamical system is one of simplest dynamical systems in nonlinear dynamics, but the local and global structures of equilibriums and flows in such two-dimensional quadratic systems help us understand other nonlinear dynamical systems, which is also a crucial step toward solving the Hilbert's sixteenth problem. Possible singular dynamics of the two-dimensional quadratic systems are discussed in detail. The dynamics of equilibriums and one-dimensional flows in two-dimensional systems are presented. Saddle-sink and saddle-source bifurcations are discussed, and saddle-center bifurcations are presented. The infinite-equilibrium states are switching bifurcations for nonlinear systems. From the first integral manifolds, the saddle-center networks are developed, and the networks of saddles, source, and sink are also presented. This book serves as a reference book on dynamical systems and control for researchers, students, and engineering in mathematics, mechanical, and electrical engineering.

Cubic Dynamical Systems, Vol. V

Author : Albert C. J. Luo
Publisher : Springer
ISBN 13 : 9783031570919
Total Pages : 0 pages
Book Rating : 4.5/5 (79 download)

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Book Synopsis Cubic Dynamical Systems, Vol. V by : Albert C. J. Luo

Download or read book Cubic Dynamical Systems, Vol. V written by Albert C. J. Luo and published by Springer. This book was released on 2024-05-31 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book, the fifth of 15 related monographs, presents systematically a theory of product-cubic nonlinear systems with constant and single-variable linear vector fields. The product-cubic vector field is a product of linear and quadratic different univariate functions. The hyperbolic and hyperbolic-secant flows with directrix flows in the cubic product system with a constant vector field are discussed first, and the cubic product systems with self-linear and crossing-linear vector fields are discussed. The inflection-source (sink) infinite equilibriums are presented for the switching bifurcations of a connected hyperbolic flow and saddle with hyperbolic-secant flow and source (sink) for the connected the separated hyperbolic and hyperbolic-secant flows. The inflection-sink and source infinite-equilibriums with parabola-saddles are presented for the switching bifurcations of a separated hyperbolic flow and saddle with a hyperbolic-secant flow and center. Readers learn new concepts, theory, phenomena, and analysis techniques, such as Constant and product-cubic systems, Linear-univariate and product-cubic systems, Hyperbolic and hyperbolic-secant flows, Connected hyperbolic and hyperbolic-secant flows, Separated hyperbolic and hyperbolic-secant flows, Inflection-source (sink) Infinite-equilibriums and Infinite-equilibrium switching bifurcations.

Two-dimensional Quadratic Nonlinear Systems

Author : Albert C. J. Luo
Publisher :
ISBN 13 : 9788981167868
Total Pages : 0 pages
Book Rating : 4.1/5 (678 download)

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Book Synopsis Two-dimensional Quadratic Nonlinear Systems by : Albert C. J. Luo

Download or read book Two-dimensional Quadratic Nonlinear Systems written by Albert C. J. Luo and published by . This book was released on 2021 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book focuses on the nonlinear dynamics based on the vector fields with bivariate quadratic functions. This book is a unique monograph for two-dimensional quadratic nonlinear systems based on bivariate vector fields. Such a book provides different points of view about nonlinear dynamics and bifurcations of the quadratic dynamical systems on linear and nonlinear bivariate manifolds. Possible singular dynamics of the two-dimensional quadratic systems is discussed in detail. The dynamics of equilibriums and one-dimensional flows on bivariate manifolds are presented. Saddle-focus bifurcations are discussed, and switching bifurcations based on infinite-equilibriums are presented. Saddle-focus networks on bivariate manifolds are demonstrated. This book will serve as a reference book on dynamical systems and control for researchers, students and engineering in mathematics, mechanical and electrical engineering.

Chaotic Dynamics of Nonlinear Systems

Author : S. Neil Rasband
Publisher : Courier Dover Publications
ISBN 13 : 0486805778
Total Pages : 240 pages
Book Rating : 4.4/5 (868 download)

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Book Synopsis Chaotic Dynamics of Nonlinear Systems by : S. Neil Rasband

Download or read book Chaotic Dynamics of Nonlinear Systems written by S. Neil Rasband and published by Courier Dover Publications. This book was released on 2015-07-20 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written when the young science of chaos was gaining a foothold in the scientific community, this book introduces the field's concepts, applications, theory, and technique. Suitable for advanced undergraduates and graduate students, researchers, and teachers of mathematics, physics, and engineering, the text's major prerequisite is familiarity with differential equations and linear vector spaces. Author S. Neil Rasband discusses the major models for the transitions to chaos exhibited by dynamic systems, introducing the "classical" topics and examples fundamental to the discipline. The most important routes to chaos are presented within a unified framework and supported by integrated problem sets. Topics include one- and two-dimensional maps, universality theory, fractal dimension, differential and conservative dynamics, and other subjects. The text is supplemented by a helpful glossary, references, and an index.

Intelligent Human Computer Interaction

Author : Madhusudan Singh
Publisher : Springer Nature
ISBN 13 : 3030684490
Total Pages : 526 pages
Book Rating : 4.0/5 (36 download)

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Book Synopsis Intelligent Human Computer Interaction by : Madhusudan Singh

Download or read book Intelligent Human Computer Interaction written by Madhusudan Singh and published by Springer Nature. This book was released on 2021-02-05 with total page 526 pages. Available in PDF, EPUB and Kindle. Book excerpt: The two-volume set LNCS 12615 + 12616 constitutes the refereed proceedings of the 12th International Conference on Intelligent Human Computer Interaction, IHCI 2020, which took place in Daegu, South Korea, during November 24-26, 2020. The 75 full and 18 short papers included in these proceedings were carefully reviewed and selected from a total of 185 submissions. The papers were organized in topical sections named: cognitive modeling and system; biomedical signal processing and complex problem solving; natural language, speech, voice and study; algorithm and related applications; crowd sourcing and information analysis; intelligent usability and test system; assistive living; image processing and deep learning; and human-centered AI applications.

European Control Conference 1995

Author :
Publisher : European Control Association
ISBN 13 :
Total Pages : 636 pages
Book Rating : 4./5 ( download)

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Book Synopsis European Control Conference 1995 by :

Download or read book European Control Conference 1995 written by and published by European Control Association. This book was released on 1995-09-05 with total page 636 pages. Available in PDF, EPUB and Kindle. Book excerpt: Proceedings of the European Control Conference 1995, Rome, Italy 5-8 September 1995

Handbook of Nonlinear Partial Differential Equations

Author : Andrei D. Polyanin
Publisher : CRC Press
ISBN 13 : 0203489659
Total Pages : 835 pages
Book Rating : 4.2/5 (34 download)

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Book Synopsis Handbook of Nonlinear Partial Differential Equations by : Andrei D. Polyanin

Download or read book Handbook of Nonlinear Partial Differential Equations written by Andrei D. Polyanin and published by CRC Press. This book was released on 2003-10-29 with total page 835 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Handbook of Nonlinear Partial Differential Equations is the latest in a series of acclaimed handbooks by these authors and presents exact solutions of more than 1600 nonlinear equations encountered in science and engineering--many more than any other book available. The equations include those of parabolic, hyperbolic, elliptic and other types,

International Aerospace Abstracts

Author :
Publisher :
ISBN 13 :
Total Pages : 608 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis International Aerospace Abstracts by :

Download or read book International Aerospace Abstracts written by and published by . This book was released on 1986 with total page 608 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Peregrine Soliton and Breathers in Wave Physics: Achievements and Perspectives

Author : Bertrand Kibler
Publisher : Frontiers Media SA
ISBN 13 : 2889741117
Total Pages : 261 pages
Book Rating : 4.8/5 (897 download)

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Book Synopsis Peregrine Soliton and Breathers in Wave Physics: Achievements and Perspectives by : Bertrand Kibler

Download or read book Peregrine Soliton and Breathers in Wave Physics: Achievements and Perspectives written by Bertrand Kibler and published by Frontiers Media SA. This book was released on 2022-08-16 with total page 261 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Special Topics in Structural Dynamics, Volume 6

Author : Gary Foss
Publisher : Springer Science & Business
ISBN 13 : 3319047299
Total Pages : 427 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Special Topics in Structural Dynamics, Volume 6 by : Gary Foss

Download or read book Special Topics in Structural Dynamics, Volume 6 written by Gary Foss and published by Springer Science & Business. This book was released on 2014-04-22 with total page 427 pages. Available in PDF, EPUB and Kindle. Book excerpt: This sixth volume of eight from the IMAC - XXXII Conference, brings together contributions to this important area of research and engineering. The collection presents early findings and case studies on fundamental and applied aspects of Structural Dynamics, including papers on: Linear Systems Substructure Modelling Adaptive Structures Experimental Techniques Analytical Methods Damage Detection Damping of Materials & Members Modal Parameter Identification Modal Testing Methods System Identification Active Control Modal Parameter Estimation Processing Modal Data

Topics in Several Complex Variables

Author : Zair Ibragimov
Publisher : American Mathematical Soc.
ISBN 13 : 1470419270
Total Pages : 168 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Topics in Several Complex Variables by : Zair Ibragimov

Download or read book Topics in Several Complex Variables written by Zair Ibragimov and published by American Mathematical Soc.. This book was released on 2016-04-21 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the Special Session on Several Complex Variables, which was held during the first USA-Uzbekistan Conference on Analysis and Mathematical Physics from May 20–23, 2014, at California State University, Fullerton. This volume covers a wide variety of topics in pluripotential theory, symplectic geometry and almost complex structures, integral formulas, holomorphic extension, and complex dynamics. In particular, the reader will find articles on Lagrangian submanifolds and rational convexity, multidimensional residues, S-parabolic Stein manifolds, Segre varieties, and the theory of quasianalytic functions.

Formal Algorithmic Elimination for PDEs

Author : Daniel Robertz
Publisher : Springer
ISBN 13 : 331911445X
Total Pages : 283 pages
Book Rating : 4.3/5 (191 download)

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Book Synopsis Formal Algorithmic Elimination for PDEs by : Daniel Robertz

Download or read book Formal Algorithmic Elimination for PDEs written by Daniel Robertz and published by Springer. This book was released on 2014-10-13 with total page 283 pages. Available in PDF, EPUB and Kindle. Book excerpt: Investigating the correspondence between systems of partial differential equations and their analytic solutions using a formal approach, this monograph presents algorithms to determine the set of analytic solutions of such a system and conversely to find differential equations whose set of solutions coincides with a given parametrized set of analytic functions. After giving a detailed introduction to Janet bases and Thomas decomposition, the problem of finding an implicit description of certain sets of analytic functions in terms of differential equations is addressed. Effective methods of varying generality are developed to solve the differential elimination problems that arise in this context. In particular, it is demonstrated how the symbolic solution of partial differential equations profits from the study of the implicitization problem. For instance, certain families of exact solutions of the Navier-Stokes equations can be computed.